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Simplifying 2P + 2(3P + -4) + 3(P + 3) = 2(P + -4) + 8 + -2P Reorder the terms: 2P + 2(-4 + 3P) + 3(P + 3) = 2(P + -4) + 8 + -2P 2P + (-4 * 2 + 3P * 2) + 3(P + 3) = 2(P + -4) + 8 + -2P 2P + (-8 + 6P) + 3(P + 3) = 2(P + -4) + 8 + -2P Reorder the terms: 2P + -8 + 6P + 3(3 + P) = 2(P + -4) + 8 + -2P 2P + -8 + 6P + (3 * 3 + P * 3) = 2(P + -4) + 8 + -2P 2P + -8 + 6P + (9 + 3P) = 2(P + -4) + 8 + -2P Reorder the terms: -8 + 9 + 2P + 6P + 3P = 2(P + -4) + 8 + -2P Combine like terms: -8 + 9 = 1 1 + 2P + 6P + 3P = 2(P + -4) + 8 + -2P Combine like terms: 2P + 6P = 8P 1 + 8P + 3P = 2(P + -4) + 8 + -2P Combine like terms: 8P + 3P = 11P 1 + 11P = 2(P + -4) + 8 + -2P Reorder the terms: 1 + 11P = 2(-4 + P) + 8 + -2P 1 + 11P = (-4 * 2 + P * 2) + 8 + -2P 1 + 11P = (-8 + 2P) + 8 + -2P Reorder the terms: 1 + 11P = -8 + 8 + 2P + -2P Combine like terms: -8 + 8 = 0 1 + 11P = 0 + 2P + -2P 1 + 11P = 2P + -2P Combine like terms: 2P + -2P = 0 1 + 11P = 0 Solving 1 + 11P = 0 Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 11P = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 11P = 0 + -1 11P = 0 + -1 Combine like terms: 0 + -1 = -1 11P = -1 Divide each side by '11'. P = -0.09090909091 Simplifying P = -0.09090909091
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